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Liqun Jia - One of the best experts on this subject based on the ideXlab platform.
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conformal invariance and mei Conserved Quantity for generalized hamilton systems with additional terms
Nonlinear Dynamics, 2016Co-Authors: Fang Zhang, Yaoyu Zhang, Xichang Xue, Liqun JiaAbstract:Conformal invariance and Mei Conserved Quantity for generalized Hamilton systems with additional terms are studied. Under the infinitesimal transformations of group, the conformal invariance and Mei Conserved Quantity for generalized Hamilton systems with additional terms are studied. A necessary and sufficient condition of which the conformal invariance for the system is also Mei symmetry is present. Then the expression of Mei Conserved Quantity for the system is given. Finally, an example is given to illustrate the application of the result.
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Accurate Conserved Quantity and approximate Conserved Quantity deduced from Noether symmetry for a weakly Chetaev nonholonomic system
Nonlinear Dynamics, 2015Co-Authors: Xianting Sun, Bingchen Yang, Yaoyu Zhang, Xichang Xue, Liqun JiaAbstract:Accurate Conserved Quantity and approximate Conserved Quantity deduced from Noether symmetry of Lagrange equations for a weakly Chetaev nonholonomic system were studied. First, the differential equations of motion of the system were established. Second, under the infinitesimal transformations of group, the definitions of Noether symmetry for the weakly Chetaev nonholonomic system and the first approximate system were given. Third, the first approximate Noether equation was mainly obtained, and the expressions of the accurate and approximate Conserved quantities were deduced from the Noether symmetry for the weakly Chetaev nonholonomic system. Finally, an example was given to illustrate the application of the results.
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conformal invariance and Conserved Quantity of mei symmetry for appell equations in a holonomic system with mass variable
Applied Mechanics and Materials, 2014Co-Authors: Yaoyu Zhang, Xianting Sun, Xichang Xue, Liqun JiaAbstract:For a holonomic system with variable mass, the conformal invariance and the Conserved Quantity of Mei symmetry of Appell equations are investigated. First, by the infinitesimal one-parameter transformation group and the infinitesimal generator vector, the Mei symmetry and the conformal invariance of differential equations of motion for Appell equations in a holonomic system with variable mass are defined, and the determining equation of Mei symmetry and conformal invariance for Appell equations in a holonomic system with variable mass are given. Then, the Mei-Conserved Quantity corresponding to the system is derived by means of the structure equation to which the gauge function satisfies. Finally, an example is given to illustrate the application of the result.
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conformal invariance and Conserved Quantity of mei symmetry for appell equations in a nonholonomic system of chetaev s type
Nonlinear Dynamics, 2014Co-Authors: Yaoyu Zhang, Fang Zhang, Yuelin Han, Liqun JiaAbstract:For a nonholonomic system of Chetaev’s type, the conformal invariance and the Conserved Quantity of Mei symmetry for Appell equations are investigated. First, under the infinitesimal one-parameter transformations of group and the infinitesimal generator vectors, Mei symmetry and conformal invariance of differential equations of motion for the system are defined, and the determining equation of Mei symmetry and conformal invariance for the system are given. Then, by means of the structure equation to which the gauge function is satisfied, the Mei-Conserved Quantity corresponding to the system is derived. Finally, an example is given to illustrate the application of the result.
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special lie symmetry and hojman Conserved Quantity of appell equations for a chetaev nonholonomic system
Nonlinear Dynamics, 2013Co-Authors: Yuelin Han, Xiaoxiao Wang, Meiling Zhang, Liqun JiaAbstract:A special Lie symmetry and Hojman Conserved Quantity of the Appell equations for a Chetaev nonholonomic system are studied. The differential equations of motion and Appell equations of the Chetaev nonholonomic system are established. Under the special Lie symmetry group transformations in which the time is invariable, the determining equation of the special Lie symmetry of the Appell equations for a Chetaev nonholonomic system is given, and the expression of the Hojman Conserved Quantity is deduced directly from the Lie symmetry. Finally, an example is given to illustrate the application of the results.
Jia Liqun - One of the best experts on this subject based on the ideXlab platform.
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generalized hojman Conserved Quantity deduced from generalized lie symmetry of appell equations for a variable mass mechanical system in relative motion
Acta Physica Sinica, 2014Co-Authors: Jia Liqun, Zhang Yaoyu, Zhang Meiling, Sun Xianting, Han YuelinAbstract:Generalized Lie symmetry and generalized Hojman Conserved Quantity of Appell equations for a variable mass holonomic system in relative motion are studied. The determining equation of generalized Lie symmetry of Appell equations for a variable mass holonomic system in relative motion under the infinitesimal transformations of groups is given. The expression of generalized Hojman Conserved Quantity deduced directly from generalized Lie symmetry for a variable mass holonomic system in relative motion is gained. Finally, the problem of dynamical system with three degree of freedom is studied by using the results of this paper.
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lie symmetry and its generation of Conserved Quantity of appell equation in a dynamical system of the relative motion with chetaev type nonholonomic constraints
Chinese Physics B, 2013Co-Authors: Wang Xiaoxiao, Han Yuelin, Zhang Meiling, Jia LiqunAbstract:Lie symmetry and Conserved Quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied. The differential equations of motion of the Appell equation for the system, the definition and criterion of Lie symmetry, the condition and the expression of generalized Hojman Conserved Quantity deduced from Lie symmetry for the system are obtained. The condition and the expression of Hojman Conserved Quantity deduced from special Lie symmetry for the system under invariable time are further obtained. An example is given to illustrate the application of the results.
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mei symmetry and mei Conserved Quantity of the appell equation in a dynamical system of relative motion with non chetaev nonholonomic constraints
Chinese Physics B, 2012Co-Authors: Wang Xiaoxiao, Han Yuelin, Zhang Meiling, Sun Xianting, Jia LiqunAbstract:The Mei symmetry and the Mei Conserved Quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied. The differential equations of motion of the Appell equation for the system, the definition and the criterion of the Mei symmetry, and the expression of the Mei Conserved Quantity deduced directly from the Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.
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mei Conserved Quantity deduced from mei symmetry of appell equation in a dynamical system of relative motion
Acta Physica Sinica, 2011Co-Authors: Luo Shaokai, Jia Liqun, Xie YinliAbstract:Mei symmetry and Mei Conserved Quantity deduced directly from Mei symmetry for Appell equations in a dynamical system of the relative motion are investigated. The definition and the criterion of Mei symmetry of Appell equations in a dynamical system of the relative motion under the infinitesimal transformations of groups are given. The expressions of the determining equation of Mei symmetry of Appell equations and Mei Conserved Quantity deduced directly from Mei symmetry in a dynamical system of the relative motion are gained. An example is given to illustrate the application of the results.
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a new type of Conserved Quantity induced by mei symmetry of appell equation
Acta Physica Sinica, 2010Co-Authors: Jia Liqun, Xie Yinli, Zhang Yaoyu, Cui Jinchao, Yang XinfangAbstract:A New type of Conserved Quantity induced by Mei symmetry of Appell equations for a holonomic system is studied. The definition and the criterion of Mei symmetry of Appell equations for a holonomic system are given. A new type of Conserved Quantity induced by Mei symmetry of Appell equations expressed by Appell functions is obtained. And an example is given to illustrate the application of the results.
Meiling Zhang - One of the best experts on this subject based on the ideXlab platform.
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special lie symmetry and hojman Conserved Quantity of appell equations for a chetaev nonholonomic system
Nonlinear Dynamics, 2013Co-Authors: Yuelin Han, Xiaoxiao Wang, Meiling Zhang, Liqun JiaAbstract:A special Lie symmetry and Hojman Conserved Quantity of the Appell equations for a Chetaev nonholonomic system are studied. The differential equations of motion and Appell equations of the Chetaev nonholonomic system are established. Under the special Lie symmetry group transformations in which the time is invariable, the determining equation of the special Lie symmetry of the Appell equations for a Chetaev nonholonomic system is given, and the expression of the Hojman Conserved Quantity is deduced directly from the Lie symmetry. Finally, an example is given to illustrate the application of the results.
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Special Mei symmetry and approximate Conserved Quantity of Appell equations for a weakly nonholonomic system
Nonlinear Dynamics, 2012Co-Authors: Xiaoxiao Wang, Meiling ZhangAbstract:The weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The special Mei symmetry and approximate Conserved Quantity of Appell equations for a weakly nonholonomic system are studied. Appell equations for a weakly nonholonomic system are established and the definition and the criterion of the special Mei symmetry of the system are given. The structure equation of the special Mei symmetry for a weakly nonholonomic system and approximate Conserved Quantity deduced from the special Mei symmetry of the system are obtained. Finally, special approximate Conserved Quantity issues of Appell equations for a two freedom degrees weakly nonholonomic system are investigated using the results of this paper.
Xiaoxiao Wang - One of the best experts on this subject based on the ideXlab platform.
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special lie symmetry and hojman Conserved Quantity of appell equations for a chetaev nonholonomic system
Nonlinear Dynamics, 2013Co-Authors: Yuelin Han, Xiaoxiao Wang, Meiling Zhang, Liqun JiaAbstract:A special Lie symmetry and Hojman Conserved Quantity of the Appell equations for a Chetaev nonholonomic system are studied. The differential equations of motion and Appell equations of the Chetaev nonholonomic system are established. Under the special Lie symmetry group transformations in which the time is invariable, the determining equation of the special Lie symmetry of the Appell equations for a Chetaev nonholonomic system is given, and the expression of the Hojman Conserved Quantity is deduced directly from the Lie symmetry. Finally, an example is given to illustrate the application of the results.
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Special Mei symmetry and approximate Conserved Quantity of Appell equations for a weakly nonholonomic system
Nonlinear Dynamics, 2012Co-Authors: Xiaoxiao Wang, Meiling ZhangAbstract:The weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The special Mei symmetry and approximate Conserved Quantity of Appell equations for a weakly nonholonomic system are studied. Appell equations for a weakly nonholonomic system are established and the definition and the criterion of the special Mei symmetry of the system are given. The structure equation of the special Mei symmetry for a weakly nonholonomic system and approximate Conserved Quantity deduced from the special Mei symmetry of the system are obtained. Finally, special approximate Conserved Quantity issues of Appell equations for a two freedom degrees weakly nonholonomic system are investigated using the results of this paper.
Luo Shaokai - One of the best experts on this subject based on the ideXlab platform.
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mei symmetry leading to mei Conserved Quantity of generalized hamiltonian system
2011Co-Authors: Jiang Wenan, Luo ShaokaiAbstract:For a generalized Hamiltonian system, Mei Conserved Quantity derived by using Mei symmetry is studied. First, the definition,the criterion and the determining equations of Mei symmetry of generalized Hamiltonian system are given under infinitesimal transformations of group. Second, the conditions and the forms for existence of Mei Conserved Quantity are directly obtained by using the Mei symmetry of the system. Then, the theorem for existence of Mei Conserved Quantity of generalized Hamiltonian system with additional terms is given. Finally, a new three-dimensional generalized Hamiltonian system and the plane motion of the three vortices of three-body problem are studied by using the method presented in the paper.
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mei Conserved Quantity deduced from mei symmetry of appell equation in a dynamical system of relative motion
Acta Physica Sinica, 2011Co-Authors: Luo Shaokai, Jia Liqun, Xie YinliAbstract:Mei symmetry and Mei Conserved Quantity deduced directly from Mei symmetry for Appell equations in a dynamical system of the relative motion are investigated. The definition and the criterion of Mei symmetry of Appell equations in a dynamical system of the relative motion under the infinitesimal transformations of groups are given. The expressions of the determining equation of Mei symmetry of Appell equations and Mei Conserved Quantity deduced directly from Mei symmetry in a dynamical system of the relative motion are gained. An example is given to illustrate the application of the results.
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mei symmetry and mei Conserved Quantity of nielsen equations for a non holonomic system of chetaev s type with variable mass
Chinese Physics B, 2010Co-Authors: Yang Xinfang, Cui Jinchao, Jia Liqun, Luo ShaokaiAbstract:Mei symmetry and Mei Conserved Quantity of Nielsen equations for a non-holonomic, non-conservative system of Chetaev's type with variable mass are studied. The differential equations of motion of the Nielsen equation for the system, the definition and criterion of Mei symmetry, and the condition and the form of Mei Conserved Quantity deduced directly by Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.
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structural equation and mei Conserved Quantity of mei symmetry for appell equations in holonomic systems with unilateral constraints
Communications in Theoretical Physics, 2009Co-Authors: Zhang Yaoyu, Jia Liqun, Cui Jinchao, Luo ShaokaiAbstract:Structural equation and Mei Conserved Quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints are investigated. Appell equations and differential equations of motion for holonomic mechanic systems with unilateral constraints are established. The definition and the criterion of Mei symmetry for Appell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups are also given. The expressions of the structural equation and Mei Conserved Quantity of Mei symmetry for Appell equations in holonomic systems with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.
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mei symmetry and mei Conserved Quantity of nielsen equations for nonholonomic systems of unilateral non chetaev s type in the event space
Acta Physica Sinica, 2009Co-Authors: Jia Liqun, Luo Shaokai, Cui Jinchao, Zhang YaoyuAbstract:Mei symmetry and Mei Conserved Quantity of Nielsen equations for a nonholonomic system of unilateral non-Chetaev's type in the event space are studied. The differential equations of motion for the system are established. The definition and the criteria of Mei symmetry, loose Mei symmetry and strict Mei symmetry for the system are respectively given. The existence condition and the expression of Mei Conserved Quantity deduced directly from Mei symmetry are obtained. An example is given to illustrate the application of the results.